Parameter estimation in one-dimensional time-dependet partial differential equations

DOI10.1080/10556789708805655zbMath0872.90113OpenAlexW2017220120MaRDI QIDQ4345238

Klaus Schittkowski

Publication date: 23 July 1997

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556789708805655

zbMATH Keywords

data fittingleast squares optimizationline methodsystem of one-dimensional time-dependent parabolic differential equations

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Applications of mathematical programming (90C90) Nonlinear programming (90C30) Probabilistic methods, stochastic differential equations (65C99)

Related Items (7)

Data fitting in partial differential algebraic equations: Some academic and industrial applications. ⋮ Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials ⋮ A Nonmonotone Matrix-Free Algorithm for Nonlinear Equality-Constrained Least-Squares Problems ⋮ Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system ⋮ Parameter identification and model verification in systems of partial differential equations applied to transdermal drug delivery ⋮ Modeling and parameter identification of a maltodextrin DE 12 drying process in a convection oven ⋮ PDEFIT: A Fortran code for data fitting in partial differential equations

Uses Software

• PDEFIT

Cites Work

• Integrated space-time adaptive \(hp\)-refinement methods for parabolic systems
• A Box Method for a Nonlinear Equation of Population Dynamics
• A Moving Finite Element Method with Error Estimation and Refinement for One-Dimensional Time Dependent Partial Differential Equations
• Numerical modeling of unsteady flame propagation
• Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations
• Algorithm 746: PCOMP—a Fortran code for automatic differentiation

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